Asymptotic behavior of a suspension of oriented particles in a viscous incompressible fluid

被引：1

作者：

Berezhnyi, Maksym ^{[1
]}

Khruslov, Eugen ^{[2
]}

机构：

[1] Tech Univ Darmstadt, D-64289 Darmstadt, Germany

[2] Ukrainian Acad Sci, Inst Low Temp Phys & Engn, Kharkov, Ukraine

来源：

ASYMPTOTIC ANALYSIS | 2013年 / 83卷 / 04期

关键词：

microstructure; suspension; anisotropic material; inhomogeneous material; viscous incompressible fluid; asymmetric hydrodynamics; asymptotic analysis; NAVIER-STOKES EQUATIONS; VOLUME DISTRIBUTION; TINY HOLES; HOMOGENIZATION; MODEL;

D O I：

10.3233/ASY-131162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A viscous incompressible fluid with a large number of small axially symmetric solid particles is considered. It is assumed that the particles are identically oriented and under the influence of the fluid move translationally or rotate around a symmetry axis with the direction of their symmetry axes unchanged. The asymptotic behavior of oscillations of the system is studied, when the diameters of particles and distances between the nearest particles are decreased. The equations, describing the homogenized model of the system, are derived. It is shown that the homogenized equations correspond to a non-standard hydrodynamics. Namely, the homogenized stress tensor linearly depends not only on the strain tensor but also on the rotation tensor.

引用

页码：331 / 353

页数：23

共 30 条

[1]

AERO EL, 1965, PRIKL MAT MEKH, V29, P297

[2] HOMOGENIZATION OF THE NAVIER-STOKES EQUATIONS IN OPEN SETS PERFORATED WITH TINY HOLES .2. NONCRITICAL SIZES OF THE HOLES FOR A VOLUME DISTRIBUTION AND A SURFACE DISTRIBUTION OF HOLES [J].